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Finding the Fourth Proportional to 41,978.81, 62,966.93 and 17,012.16

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Solution

The fourth proportional to 41,978.81, 62,966.93 and 17,012.16 is: 25,517.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,978.81 : 62,966.93 = 17,012.16 : x
  2. Step 2: Convert to fraction form
    41,978.81/62,966.93 = 17,012.16/x
  3. Step 3: Cross multiply
    41,978.81x = 62,966.93 × 17,012.16
  4. Step 4: Simplify right side
    41,978.81x = 1,071,203,402.81
  5. Step 5: Solve for x
    x = 1,071,203,402.81/41,978.81
  6. Step 6: Final answer
    x = 25,517.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.